Mastering Dilation: Geometry Transformations in Action

A rectangle has a length of 4 cm and a width of 2 cm. If the rectangle is dilated by a scale factor of 3, what will be the new dimensions of the rectangle?

• Length: 10 cm, Width: 5 cm

• Length: 8 cm, Width: 4 cm

• Length: 15 cm, Width: 7 cm

• Length: 12 cm, Width: 6 cm

Tags

CCSS.8.G.A.3

A triangle has vertices at (1, 2), (3, 4), and (5, 2). If the triangle is dilated by a scale factor of 2 from the origin, what are the coordinates of the new vertices?

• (2, 3)

• (8, 2)

• The new vertices are (2, 4), (6, 8), and (10, 4).

• (4, 6)

Tags

CCSS.8.G.A.3

A park is designed in the shape of a square with each side measuring 50 meters. If the park is to be enlarged by a dilation with a scale factor of 1.5, what will be the area of the new park?

• 3600 square meters

• 2500 square meters

• 4900 square meters

• 5625 square meters

Tags

CCSS.7.G.A.1

A circular fountain has a radius of 3 meters. If the fountain is enlarged by a scale factor of 4, what will be the new circumference of the fountain?

• 24π meters

• 36π meters

• 16π meters

• 12π meters

Tags

CCSS.7.G.B.4

A rectangular garden measures 10 meters by 5 meters. If the garden is reduced by a scale factor of 0.5, what will be the area of the new garden?

• 15 square meters

• 5 square meters

• 25 square meters

• 12.5 square meters

Tags

CCSS.7.G.A.1

A triangle with a base of 6 cm and a height of 4 cm is dilated by a scale factor of 2. What is the area of the new triangle?

• 12 cm²

• 48 cm²

• 24 cm²

• 36 cm²

Tags

CCSS.7.G.A.1

A model of a building is created with a scale factor of 1:100. If the height of the model is 2 meters, what is the actual height of the building?

• 50 meters

• 150 meters

• 300 meters

• 200 meters

Tags

CCSS.7.G.A.1

A square tile has a side length of 20 cm. If the tile is scaled down by a factor of 0.25, what will be the side length of the new tile?

• 10 cm

• 5 cm

• 2.5 cm

• 15 cm

Tags

CCSS.7.G.A.1

A rectangular swimming pool is 12 meters long and 6 meters wide. If the pool is to be enlarged by a scale factor of 1.5, what will be the new perimeter of the pool?

• 48 meters

• 54 meters

• 60 meters

• 36 meters

Tags

CCSS.7.G.A.1

A triangular plot of land has sides measuring 8 m, 6 m, and 10 m. If the plot is dilated by a scale factor of 0.75, what will be the lengths of the sides of the new plot?

• 8, 6, 10

• 7, 5, 8

• [6, 4.5, 7.5]

• 6, 5, 9

Tags

CCSS.8.G.A.3